getInstanceFromMLE(double[] x,
int n)
Creates a new instance of a beta distribution with parameters α and
β over the interval [0, 1] estimated using the maximum likelihood
method based on the n observations x[i],
i = 0, 1,…, n - 1.

inverseF

Returns the inverse beta distribution function
using the algorithm implemented in
the Cephes math library.
The method performs interval halving or Newton iterations to
compute the inverse.

getMLE

public static double[] getMLE(double[] x,
int n)

Estimates the parameters
(α, β) of the beta distribution over the
interval [0, 1] using the maximum likelihood method, from the n observations
x[i],
i = 0, 1,…, n - 1. The estimates are returned in a two-element
array, in regular order: [α, β].